Controllability for a non-local formulation of surface gravity waves
Analysis of PDEs
2024-02-29 v1
Abstract
In this paper, we study the approximate controllability of a system governed by an evolution problem known as the sloshing problem. This problem involves a spatial, nonlocal differential operator inherent in the dynamics of a two-dimensional, incompressible, non-viscous fluid within a confined domain. Our work establishes unique continuation results that enable the application of source control localized in an interior domain, allowing the aforementioned controllability.
Cite
@article{arxiv.2402.18468,
title = {Controllability for a non-local formulation of surface gravity waves},
author = {M. A. Fontelos and R. Lecaros and J. López-Ríos and A. Pérez},
journal= {arXiv preprint arXiv:2402.18468},
year = {2024}
}